752160721984 has 189 divisors, whose sum is σ = 1846420826709. Its totient is φ = 303059527680.

The previous prime is 752160721981. The next prime is 752160721987. The reversal of 752160721984 is 489127061257.

The square root of 752160721984 is 867272.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (752160721981) and next prime (752160721987).

It can be written as a sum of positive squares in only one way, i.e., 585592257600 + 166568464384 = 765240^2 + 408128^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (752160721981) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 825642489 + ... + 825643399.

Almost surely, 2^752160721984 is an apocalyptic number.

752160721984 is the 867272-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 752160721984

752160721984 is an abundant number, since it is smaller than the sum of its proper divisors (1094260104725).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

752160721984 is an frugal number, since it uses more digits than its factorization.

752160721984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1882 (or 937 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 52.

The spelling of 752160721984 in words is "seven hundred fifty-two billion, one hundred sixty million, seven hundred twenty-one thousand, nine hundred eighty-four".